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Finding the Fourth Proportional to 651.67, 899.46 and 399.67

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Solution

The fourth proportional to 651.67, 899.46 and 399.67 is: 551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.67 : 899.46 = 399.67 : x
  2. Step 2: Convert to fraction form
    651.67/899.46 = 399.67/x
  3. Step 3: Cross multiply
    651.67x = 899.46 × 399.67
  4. Step 4: Simplify right side
    651.67x = 359,485.18
  5. Step 5: Solve for x
    x = 359,485.18/651.67
  6. Step 6: Final answer
    x = 551.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.